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Finding the Third Proportional to 7,683,280 and 16,668,896

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Solution

The third proportional to 7,683,280 and 16,668,896 is: 36,163,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683,280 : 16,668,896 = 16,668,896 : x
  2. Step 2: Convert to fraction form
    7,683,280/16,668,896 = 16,668,896/x
  3. Step 3: Cross multiply
    7,683,280x = 16,668,896 × 16,668,896
  4. Step 4: Simplify right side
    7,683,280x = 277,852,093,858,816
  5. Step 5: Solve for x
    x = 277,852,093,858,816/7,683,280
  6. Step 6: Final answer
    x = 36,163,213.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.